Description

• Title:
  Existence results for evolution equations with superlinear growth
• Creator:
  Benedetti, Irene;
  Rocha, Eugénio M.
• Description:
  By combining an approximation technique with the Leray-Schauder continuation principle, we prove global existence results for semilinear differential equations involving a dissipative linear operator, generating an extendable compact $C_0$-semigroup of contractions, and a Caratheodory nonlinearity $f\colon [0,T] \times E \to F$, with $E$ and $F$ two real Banach spaces such that $E \subseteq F$, besides imposing other conditions. The case $E\neq F$ allows to treat, as an application, parabolic equations with continuous superlinear nonlinearities which satisfy a sign condition.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.12.25
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2B (December 2019); 917 - 936;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.101/24140 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.101/24141
• Subject:
  Semilinear differential equation;
  approximation solvability method;
  Leray-Schauder continuation principle;
  Nemytskii operator;
  Primary;
  34G99;
  47D06;
  Secondary;
  47H06;
  47H10;
  35K58
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.101
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other